메뉴 건너뛰기




Volumn 47, Issue 8-9, 2004, Pages 1817-1825

A stable and convergent three-level finite difference scheme for solving a dual-phase-lagging heat transport equation in spherical coordinates

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; FINITE DIFFERENCE METHOD; NUMERICAL ANALYSIS;

EID: 1642439306     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2003.10.013     Document Type: Article
Times cited : (30)

References (25)
  • 2
    • 0002916786 scopus 로고
    • Transient ballistic and diffusive phonon heat transport in thin films
    • Joshi A.A. Majumdar A. Transient ballistic and diffusive phonon heat transport in thin films Journal of Applied Physics 74 1993 31-39
    • (1993) Journal of Applied Physics , vol.74 , pp. 31-39
    • Joshi, A.A.1    Majumdar, A.2
  • 3
    • 85014333979 scopus 로고
    • Heat transfer mechanisms during short-pulse laser heating of metals
    • Qiu T.Q. Tien C.L. Heat transfer mechanisms during short-pulse laser heating of metals ASME Journal of Heat Transfer 115 1993 835-841
    • (1993) ASME Journal of Heat Transfer , vol.115 , pp. 835-841
    • Qiu, T.Q.1    Tien, C.L.2
  • 10
    • 0035916812 scopus 로고    scopus 로고
    • Well-posedness and solution structure of dual-phase-lagging heat conduction
    • Wang L. Xu M. Zhou X. Well-posedness and solution structure of dual-phase-lagging heat conduction International Journal of Heat and Mass Transfer 44 2001 1659-1669
    • (2001) International Journal of Heat and Mass Transfer , vol.44 , pp. 1659-1669
    • Wang, L.1    Xu, M.2    Zhou, X.3
  • 13
    • 0032124942 scopus 로고    scopus 로고
    • Solution for non-Fourier dual phase lag heat conduction in a semi-infinite slab with surface heat flux
    • Antaki P. Solution for non-Fourier dual phase lag heat conduction in a semi-infinite slab with surface heat flux International Journal of Heat and Mass Transfer 41 1998 2253-2258
    • (1998) International Journal of Heat and Mass Transfer , vol.41 , pp. 2253-2258
    • Antaki, P.1
  • 14
    • 0345040704 scopus 로고    scopus 로고
    • Wavy, wavelike, diffusive thermal responses of finite rigid slabs to high-speed heating of laser-pulses
    • Tang D.W. Araki N. Wavy, wavelike, diffusive thermal responses of finite rigid slabs to high-speed heating of laser-pulses International Journal of Heat and Mass Transfer 42 1999 855-860
    • (1999) International Journal of Heat and Mass Transfer , vol.42 , pp. 855-860
    • Tang, D.W.1    Araki, N.2
  • 17
    • 0001883430 scopus 로고    scopus 로고
    • Numerical study of ultrashort laser pulse interactions with metal films
    • Chen J.K. Beraun J.E. Numerical study of ultrashort laser pulse interactions with metal films Numerical Heat Transfer, Part A 40 2001 1-20
    • (2001) Numerical Heat Transfer , vol.40 , Issue.PART A , pp. 1-20
    • Chen, J.K.1    Beraun, J.E.2
  • 18
    • 0042234530 scopus 로고    scopus 로고
    • A finite difference scheme for solving the heat transport equation at the microscale
    • Dai W. Nassar R. A finite difference scheme for solving the heat transport equation at the microscale Numerical Methods for Partial Differential Equations 15 1999 697-708
    • (1999) Numerical Methods for Partial Differential Equations , vol.15 , pp. 697-708
    • Dai, W.1    Nassar, R.2
  • 19
    • 0035068667 scopus 로고    scopus 로고
    • A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness
    • Dai W. Nassar R. A finite difference scheme for solving a three-dimensional heat transport equation in a thin film with microscale thickness International Journal for Numerical Methods in Engineering 50 2001 1865-1880
    • (2001) International Journal for Numerical Methods in Engineering , vol.50 , pp. 1865-1880
    • Dai, W.1    Nassar, R.2
  • 20
    • 0035879146 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a one-dimensional heat transport equation at the microscale
    • Dai W. Nassar R. A compact finite difference scheme for solving a one-dimensional heat transport equation at the microscale Journal of Computational and Applied Mathematics 130 2001 431-441
    • (2001) Journal of Computational and Applied Mathematics , vol.130 , pp. 431-441
    • Dai, W.1    Nassar, R.2
  • 21
    • 0001295744 scopus 로고    scopus 로고
    • A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film
    • Dai W. Nassar R. A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film Numerical Methods for Partial Differential Equations 16 2000 441-458
    • (2000) Numerical Methods for Partial Differential Equations , vol.16 , pp. 441-458
    • Dai, W.1    Nassar, R.2
  • 22
    • 0037039254 scopus 로고    scopus 로고
    • Well-posedness of dual-phase-lagging heat conduction equation: Higher dimensions
    • Wang L. Xu M. Well-posedness of dual-phase-lagging heat conduction equation: higher dimensions International Journal of Heat and Mass Transfer 45 2002 1165-1171
    • (2002) International Journal of Heat and Mass Transfer , vol.45 , pp. 1165-1171
    • Wang, L.1    Xu, M.2
  • 23
    • 0002361693 scopus 로고    scopus 로고
    • Preliminary survey on the mechanisms of the wave-like behaviors of heat transfer in living tissues
    • Liu J. Preliminary survey on the mechanisms of the wave-like behaviors of heat transfer in living tissues Forschung im Ingenieurwesen 66 2000 1-10
    • (2000) Forschung Im Ingenieurwesen , vol.66 , pp. 1-10
    • Liu, J.1
  • 24
    • 0001734083 scopus 로고
    • Alternating direction and semi-explicit difference methods for parabolic partial differential equations
    • Lees M. Alternating direction and semi-explicit difference methods for parabolic partial differential equations Numerische Mathematik 3 1961 398-412
    • (1961) Numerische Mathematik , vol.3 , pp. 398-412
    • Lees, M.1
  • 25
    • 84968520057 scopus 로고
    • A linear three-level difference scheme for quasilinear parabolic equations
    • Lees M. A linear three-level difference scheme for quasilinear parabolic equations Mathematics of Computation 20 1966 516-522
    • (1966) Mathematics of Computation , vol.20 , pp. 516-522
    • Lees, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.